Question

In the figure, o is the center of a circle passing through points a,b,c and d and angle ADC = 120°. Find the value of x




solve this question without using ( angle in semi circle ) on ACB​

Answer 1

Answer:

ABCD is a cyclic quadrilateral. we have

∠ABC+∠ADC=180

∠ABC=180 −120 =60

Also ∠ACB=90 ( angle on a semi circle )

In ΔABC we have

∠BAC+∠ACB+∠ABC=180

∠BAC+90 +60 =180

∠BAC=180 −150

=30